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In this paper we consider three dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell,…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah

This paper studies the thermodynamic properties of the 5D black hole in Einstein-Gauss-Bonnet gravity from the viewpoint of geometrothermodynamics. It {is found} that the Legendre invariant metrics of the 5D black {holes} in…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yi-Wen Han , Gang Chen , Ming-Jian Lan

We consider an Einstein-Gauss-Bonnet massive gravity model in $4D$ AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the vanishing metric function lead to various…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Sudhaker Upadhyay , Dharm Veer Singh

Sign and magnitude of the thermodynamic curvature provides empirical information about the nature of microstructures of a general thermodynamic system. For charged black holes in AdS, thermodynamic curvature is positive for large charge or…

High Energy Physics - Theory · Physics 2023-08-07 Aditya Singh , Poulami Mukherjee , Chandrasekhar Bhamidipati

The phase transition of four-dimensional charged AdS black hole solution in the $R+f(R)$ gravity with constant curvature is investigated in the grand canonical ensemble, where we find novel characteristics quite different from that in…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Gu-Qiang Li , Jie-Xiong Mo

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

We study the properties of the space of thermodynamic equilibrium states of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the formalism of geometrothermodynamics to introduce in the space of equilibrium states a…

General Relativity and Quantum Cosmology · Physics 2009-01-21 Hernando Quevedo , Alberto Sanchez

Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson-Visser "black-bounce" geometry as an elegant, analytically tractable framework, we…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Vinayak Joshi , Ashok B. Joshi

Recent studies have revealed synchronized multivalued behavior in thermodynamic, dynamical, and geometric quantities during the black hole first-order phase transition, which enables a diagnosis from different perspectives, yet its…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Shi-Hao Zhang , Zi-Yuan Li , Jing-Fei Zhang , Xin Zhang

We have investigated the black hole thermodynamics and the phase transition for renormalized group improved asymptotically safe Schwarzschild black hole. This geometry takes into account the quantum gravitational correction in the running…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Rituparna Mandal , Sunandan Gangopadhyay

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

The unusual asymptotic structure of the accelerating black holes led to ambiguity in their geometric characteristics and thermodynamic behavior. Motivated by the interesting properties of such black holes and the significant role of…

High Energy Physics - Theory · Physics 2021-08-20 Kh. Jafarzade , J. Sadeghi , B. Eslam Panah , S. H. Hendi

We study thermodynamics and thermodynamic geometry of a five-dimensional Schwarzschild AdS black hole in $AdS_5\times{S^5}$ spacetime by treating the cosmological constant as the number of colors in the boundary gauge theory and its…

High Energy Physics - Theory · Physics 2015-06-22 Jia-Lin Zhang , Rong-Gen Cai , Hongwei Yu

In this paper, we analyze the complete thermodynamic and phase transition phenomena of a black hole solution in Ho\v{r}ava-Lifshitz gravity in arbitrary space time. Nature of phase transition is studied using geometrothermodynamic and…

General Relativity and Quantum Cosmology · Physics 2015-01-20 Jishnu Suresh , Tharanath R , V C Kuriakose

We study the thermodynamic behavior of static and spherically symmetric hairy black holes in massive gravity. In this case, the black hole is surrounded in a spherical cavity with a fixed temperature on the surface. It is observed that…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Behrouz Mirza , Zeinab Sherkatghanad

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Fang Liu , Ren Zhao , Li-Chun Zhang

Using the geometrical thermodynamic approach, we study phase transition of Brans--Dicke Born--Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its…

High Energy Physics - Theory · Physics 2017-12-08 S. H. Hendi , M. S. Talezadeh , Z. Armanfard

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

High Energy Physics - Theory · Physics 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

We analyze a static and spherically symmetric hairy black hole solution in non-invariant massive gravity. The formalism of geometrothermodynamics is used to describe the thermodynamic characteristics of this black hole in a Legendre…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Alberto Sanchez

We study the thermodynamics and thermodynamic geometry of a five-dimensional Reissner-Nordstr\"om-AdS black hole in the extended phase space by treating the cosmological constant as being related to the number of colors in the boundary…

High Energy Physics - Theory · Physics 2015-06-23 Jia-Lin Zhang , Rong-Gen Cai , Hongwei Yu